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Finding the Fourth Proportional to 3,849.70, 5,312.50 and 2,278.30

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Solution

The fourth proportional to 3,849.70, 5,312.50 and 2,278.30 is: 3,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.70 : 5,312.50 = 2,278.30 : x
  2. Step 2: Convert to fraction form
    3,849.70/5,312.50 = 2,278.30/x
  3. Step 3: Cross multiply
    3,849.70x = 5,312.50 × 2,278.30
  4. Step 4: Simplify right side
    3,849.70x = 12,103,468.75
  5. Step 5: Solve for x
    x = 12,103,468.75/3,849.70
  6. Step 6: Final answer
    x = 3,144.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.